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Section 27

**also see:**

27. Floating Point Notation

In contrast to numerical storage, partial retention requires that we not save

the 0s and 1s pattern not only represents its binary representation but also the radix point shape.

A popular way to do this is based on scientific writing and is called notating point-point notation.

27.1. Radix storage cs101 past papers final term solved by moaaz

Numbers with a fractional fraction have radix, so it is important to keep the Radix position

Another popular way is to write a floating point. cs101 past papers final term solved by moaaz

Purpose For the purpose of the demonstration we will use examples of an 8-bit storage system.

27.2. Storing Fractions. cs101 past papers final term solved by moaaz

We start by placing a little more orderly byte as a signal. Again, a little sign will mean that

the saved value does not contradict, and 1 will mean that the value is not negative. Next, we separate the rest

7 pieces of byte into two groups, or fields: exponent field and mantissa field. Let's choose. cs101 past papers final term solved by moaaz

The 3 bits follow the small mark as an experimental field and the remaining 4 bits as the mantissa field Figure 39

shows how the byte is separated. We can explain what the fields mean by looking at the following

for example. Suppose a byte has a small pattern 01101011. Analyze this pattern and past

format, we see that the number symbol is 0, the exponent is 110, and the mantissa is 1011.

first remove the mantissa and then place the radix point on its left side, to find. cs101 past papers final term solved by moaaz